What is the answer to 3|x-5|=8 ?

The answer to 3|x-5|=8 is x= 7/3 \lor x= 23/3

Solve for x: 3|x-5|=8

The solution is x= 7/3 \lor x= 23/3

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3 ∣ x - 5 ∣ = 8

x = \frac{7}{3} or x = \frac{23}{3}

Decimal Notation

x = 2.33333 \dots, x = 7.66666 \dots

Solution steps

3 ∣ x - 5 ∣ = 8

Divide both sides by

3

∣ x - 5 ∣ = \frac{8}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 5 = - \frac{8}{3} or x - 5 = \frac{8}{3}

x - 5 = - \frac{8}{3} or x - 5 = \frac{8}{3}

x = \frac{7}{3} or x = \frac{23}{3}

∣ 10 x + 3 ∣ + 9 = - 58

∣ 4 b + 3 ∣ = 15 - 2 b

∣ 6 u - 18 ∣ = 12

3 ∣ x - 7 ∣ + 15 = 6

4 x^{5} - 5 = 8